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        Cos[Rational[7, 32] Pi] Sin[Rational[7, 32] Pi]}, {
       256 Cos[Rational[3, 16] Pi]^2, 256 2^Rational[1, 2] 
        Sin[Rational[3, 16] Pi]^2, (-256) 2^Rational[1, 2] 
        Cos[Rational[3, 16] Pi] Sin[Rational[3, 16] Pi]}, {
       256 Cos[Rational[5, 32] Pi]^2, 256 2^Rational[1, 2] 
        Sin[Rational[5, 32] Pi]^2, (-256) 2^Rational[1, 2] 
        Cos[Rational[5, 32] Pi] Sin[Rational[5, 32] Pi]}, {
       256 Cos[Rational[1, 8] Pi]^2, 256 2^Rational[1, 2] 
        Sin[Rational[1, 8] Pi]^2, (-256) 2^Rational[1, 2] 
        Cos[Rational[1, 8] Pi] Sin[Rational[1, 8] Pi]}, {
       256 Cos[Rational[3, 32] Pi]^2, 256 2^Rational[1, 2] 
        Sin[Rational[3, 32] Pi]^2, (-256) 2^Rational[1, 2] 
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       256 Cos[Rational[1, 16] Pi]^2, 256 2^Rational[1, 2] 
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       256 Cos[Rational[1, 32] Pi]^2, 256 2^Rational[1, 2] 
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       256 Cos[Rational[1, 16] Pi]^2, 256 2^Rational[1, 2] 
        Sin[Rational[1, 16] Pi]^2, 256 2^Rational[1, 2] 
        Cos[Rational[1, 16] Pi] Sin[Rational[1, 16] Pi]}, {
       256 Cos[Rational[3, 32] Pi]^2, 256 2^Rational[1, 2] 
        Sin[Rational[3, 32] Pi]^2, 256 2^Rational[1, 2] 
        Cos[Rational[3, 32] Pi] Sin[Rational[3, 32] Pi]}, {
       256 Cos[Rational[1, 8] Pi]^2, 256 2^Rational[1, 2] 
        Sin[Rational[1, 8] Pi]^2, 256 2^Rational[1, 2] Cos[Rational[1, 8] Pi] 
        Sin[Rational[1, 8] Pi]}, {
       256 Cos[Rational[5, 32] Pi]^2, 256 2^Rational[1, 2] 
        Sin[Rational[5, 32] Pi]^2, 256 2^Rational[1, 2] 
        Cos[Rational[5, 32] Pi] Sin[Rational[5, 32] Pi]}, {
       256 Cos[Rational[3, 16] Pi]^2, 256 2^Rational[1, 2] 
        Sin[Rational[3, 16] Pi]^2, 256 2^Rational[1, 2] 
        Cos[Rational[3, 16] Pi] Sin[Rational[3, 16] Pi]}, {
       256 Cos[Rational[7, 32] Pi]^2, 256 2^Rational[1, 2] 
        Sin[Rational[7, 32] Pi]^2, 256 2^Rational[1, 2] 
        Cos[Rational[7, 32] Pi] Sin[Rational[7, 32] Pi]}, {
       128, 128 2^Rational[1, 2], 128 2^Rational[1, 2]}, {
       256 Sin[Rational[7, 32] Pi]^2, 256 2^Rational[1, 2] 
        Cos[Rational[7, 32] Pi]^2, 256 2^Rational[1, 2] 
        Cos[Rational[7, 32] Pi] Sin[Rational[7, 32] Pi]}, {
       256 Sin[Rational[3, 16] Pi]^2, 256 2^Rational[1, 2] 
        Cos[Rational[3, 16] Pi]^2, 256 2^Rational[1, 2] 
        Cos[Rational[3, 16] Pi] Sin[Rational[3, 16] Pi]}, {
       256 Sin[Rational[5, 32] Pi]^2, 256 2^Rational[1, 2] 
        Cos[Rational[5, 32] Pi]^2, 256 2^Rational[1, 2] 
        Cos[Rational[5, 32] Pi] Sin[Rational[5, 32] Pi]}, {
       256 Sin[Rational[1, 8] Pi]^2, 256 2^Rational[1, 2] 
        Cos[Rational[1, 8] Pi]^2, 256 2^Rational[1, 2] Cos[Rational[1, 8] Pi] 
        Sin[Rational[1, 8] Pi]}, {
       256 Sin[Rational[3, 32] Pi]^2, 256 2^Rational[1, 2] 
        Cos[Rational[3, 32] Pi]^2, 256 2^Rational[1, 2] 
        Cos[Rational[3, 32] Pi] Sin[Rational[3, 32] Pi]}, {
       256 Sin[Rational[1, 16] Pi]^2, 256 2^Rational[1, 2] 
        Cos[Rational[1, 16] Pi]^2, 256 2^Rational[1, 2] 
        Cos[Rational[1, 16] Pi] Sin[Rational[1, 16] Pi]}, {
       256 Sin[Rational[1, 32] Pi]^2, 256 2^Rational[1, 2] 
        Cos[Rational[1, 32] Pi]^2, 256 2^Rational[1, 2] 
        Cos[Rational[1, 32] Pi] Sin[Rational[1, 32] Pi]}, {
       0, 256 2^Rational[1, 2], 0}, {
       256 Sin[Rational[1, 32] Pi]^2, 256 2^Rational[1, 2] 
        Cos[Rational[1, 32] Pi]^2, (-256) 2^Rational[1, 2] 
        Cos[Rational[1, 32] Pi] Sin[Rational[1, 32] Pi]}, {
       256 Sin[Rational[1, 16] Pi]^2, 256 2^Rational[1, 2] 
        Cos[Rational[1, 16] Pi]^2, (-256) 2^Rational[1, 2] 
        Cos[Rational[1, 16] Pi] Sin[Rational[1, 16] Pi]}, {
       256 Sin[Rational[3, 32] Pi]^2, 256 2^Rational[1, 2] 
        Cos[Rational[3, 32] Pi]^2, (-256) 2^Rational[1, 2] 
        Cos[Rational[3, 32] Pi] Sin[Rational[3, 32] Pi]}, {
       256 Sin[Rational[1, 8] Pi]^2, 256 2^Rational[1, 2] 
        Cos[Rational[1, 8] Pi]^2, (-256) 2^Rational[1, 2] 
        Cos[Rational[1, 8] Pi] Sin[Rational[1, 8] Pi]}, {
       256 Sin[Rational[5, 32] Pi]^2, 256 2^Rational[1, 2] 
        Cos[Rational[5, 32] Pi]^2, (-256) 2^Rational[1, 2] 
        Cos[Rational[5, 32] Pi] Sin[Rational[5, 32] Pi]}, {
       256 Sin[Rational[3, 16] Pi]^2, 256 2^Rational[1, 2] 
        Cos[Rational[3, 16] Pi]^2, (-256) 2^Rational[1, 2] 
        Cos[Rational[3, 16] Pi] Sin[Rational[3, 16] Pi]}, {
       256 Sin[Rational[7, 32] Pi]^2, 256 2^Rational[1, 2] 
        Cos[Rational[7, 32] Pi]^2, (-256) 2^Rational[1, 2] 
        Cos[Rational[7, 32] Pi] Sin[Rational[7, 32] Pi]}, {
       128, 128 2^Rational[1, 2], (-128) 2^Rational[1, 2]}, {
       256 Cos[Rational[7, 32] Pi]^2, 256 2^Rational[1, 2] 
        Sin[Rational[7, 32] Pi]^2, (-256) 2^Rational[1, 2] 
        Cos[Rational[7, 32] Pi] Sin[Rational[7, 32] Pi]}, {
       256 Cos[Rational[3, 16] Pi]^2, 256 2^Rational[1, 2] 
        Sin[Rational[3, 16] Pi]^2, (-256) 2^Rational[1, 2] 
        Cos[Rational[3, 16] Pi] Sin[Rational[3, 16] Pi]}, {
       256 Cos[Rational[5, 32] Pi]^2, 256 2^Rational[1, 2] 
        Sin[Rational[5, 32] Pi]^2, (-256) 2^Rational[1, 2] 
        Cos[Rational[5, 32] Pi] Sin[Rational[5, 32] Pi]}, {
       256 Cos[Rational[1, 8] Pi]^2, 256 2^Rational[1, 2] 
        Sin[Rational[1, 8] Pi]^2, (-256) 2^Rational[1, 2] 
        Cos[Rational[1, 8] Pi] Sin[Rational[1, 8] Pi]}, {
       256 Cos[Rational[3, 32] Pi]^2, 256 2^Rational[1, 2] 
        Sin[Rational[3, 32] Pi]^2, (-256) 2^Rational[1, 2] 
        Cos[Rational[3, 32] Pi] Sin[Rational[3, 32] Pi]}, {
       256 Cos[Rational[1, 16] Pi]^2, 256 2^Rational[1, 2] 
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       256 Cos[Rational[1, 32] Pi]^2, 256 2^Rational[1, 2] 
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        Cos[Rational[1, 32] Pi] Sin[Rational[1, 32] Pi]}, {256, 0, 0}}, {{
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       176.9834793427315, 111.74623516504295`, 167.24005950417617`}, {
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